Search a number
-
+
243541080 = 2334575167
BaseRepresentation
bin11101000010000…
…10010001011000
3121222021011120000
432201002101120
5444321303310
640055533000
76015031206
oct1641022130
9558234500
10243541080
11115522022
126968a160
133b5c0863
14244b8076
15165aa4c0
hexe842458

243541080 has 80 divisors (see below), whose sum is σ = 818579520. Its totient is φ = 64943424.

The previous prime is 243541079. The next prime is 243541087. The reversal of 243541080 is 80145342.

243541080 is a `hidden beast` number, since 2 + 43 + 541 + 0 + 80 = 666.

243541080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2435410803 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243541087) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34344 + ... + 40823.

It is an arithmetic number, because the mean of its divisors is an integer number (10232244).

Almost surely, 2243541080 is an apocalyptic number.

243541080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

243541080 is an abundant number, since it is smaller than the sum of its proper divisors (575038440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

243541080 is a wasteful number, since it uses less digits than its factorization.

243541080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75190 (or 75177 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 243541080 is about 15605.8027669197. The cubic root of 243541080 is about 624.4879688999.

The spelling of 243541080 in words is "two hundred forty-three million, five hundred forty-one thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 75167 150334 225501 300668 375835 451002 601336 676503 751670 902004 1127505 1353006 1503340 1804008 2029509 2255010 2706012 3006680 3382515 4059018 4510020 5412024 6088527 6765030 8118036 9020040 10147545 12177054 13530060 16236072 20295090 24354108 27060120 30442635 40590180 48708216 60885270 81180360 121770540 243541080